What is the minimum amount they would have saved if they paid cash? (hint: think about their original intended purchase) Please explain how you calculated your answer.

University hero is considering expanding operations beyond its healthy sandwiches. jim axelrod, vice president of marketing, would like to add a line of smoothies with a similar health emphasis. each smoothie would include two free health supplements such as vitamins, antioxidants, and protein. jim believes smoothie sales should fill the slow mid-afternoon period. adding the line of smoothies would require purchasing additional freezer space, machinery, and equipment. jim provides the following projections of net sales, net income, and average total assets in support of his proposal. sandwichesonly sandwiches and smoothies net sales $ 750,000 $ 1,350,000 net income 120,000 210,000 average total assets 350,000 750,000 return on assetschoose numerator ÷ choose denominator = return on assets÷ = return on assets÷ = profit margin÷ = profit margin÷ = asset turnover÷ = asset turnover÷ = times

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

The gorman group is a financial planning services firm owned and operated by nicole gorman. as of october 31, 2016, the end of the fiscal year, the accountant for the gorman group prepared an end-of-period spreadsheet, part of which follows: